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Finding the Fourth Proportional to 23,471.10, 35,202.97 and 7,676.00

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Solution

The fourth proportional to 23,471.10, 35,202.97 and 7,676.00 is: 11,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.10 : 35,202.97 = 7,676.00 : x
  2. Step 2: Convert to fraction form
    23,471.10/35,202.97 = 7,676.00/x
  3. Step 3: Cross multiply
    23,471.10x = 35,202.97 × 7,676.00
  4. Step 4: Simplify right side
    23,471.10x = 270,218,066.54
  5. Step 5: Solve for x
    x = 270,218,066.54/23,471.10
  6. Step 6: Final answer
    x = 11,512.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.